Dynamical trapping and transmission of matter-wave solitons in a collisionally inhomogeneous environment

We investigate bright matter-wave solitons in the presence of a spatially varying scattering length. It is demonstrated that a soliton can be confined due to the inhomogeneous collisional interactions. Moreover, we observe the enhanced transmission of matter-wave solitons through potential barriers for suitably chosen spatial variations of the scattering length. The results indicate that the manipulation of atomic interactions can become a versatile tool to control matter-wave dynamics.

[1]  S. Burger,et al.  Dark solitons in Bose-Einstein condensates , 1999, QELS 2000.

[2]  Cheng Chin,et al.  Preparation of a Pure Molecular Quantum Gas , 2003, Science.

[3]  S. Jochim,et al.  Collective excitations of a degenerate gas at the BEC-BCS crossover. , 2004, Physical review letters.

[4]  D. Frantzeskakis,et al.  Hamiltonian averaging for solitons with nonlinearity management. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  W. Ketterle,et al.  Observation of Feshbach resonances in a Bose–Einstein condensate , 1998, Nature.

[6]  W M Liu,et al.  Dynamics of a bright soliton in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic potential. , 2005, Physical review letters.

[7]  Yuri S. Kivshar,et al.  Optical Solitons: From Fibers to Photonic Crystals , 2003 .

[8]  Ultracold two-component fermionic gases with a magnetic field gradient near a feshbach resonance. , 2004, Physical review letters.

[9]  Víctor M. Pérez-García,et al.  Stabilization of solitons of the multidimensional nonlinear Schrodinger equation: Matter-wave breathers , 2003, nlin/0305030.

[10]  Hiroki Saito,et al.  Dynamically stabilized bright solitons in a two-dimensional bose-einstein condensate. , 2003, Physical review letters.

[11]  J. Brand,et al.  Enhanced quantum reflection of matter-wave solitons , 2005, cond-mat/0505697.

[12]  B. A. Malomed,et al.  Controlling collapse in Bose-Einstein condensates by temporal modulation of the scattering length , 2003 .

[13]  Jakob Reichel,et al.  Microchip traps and Bose–Einstein condensation , 2002 .

[14]  C. Wieman,et al.  Formation of bright matter-wave solitons during the collapse of attractive Bose-Einstein condensates. , 2006, Physical review letters.

[15]  Randall G. Hulet,et al.  Formation and propagation of matter-wave soliton trains , 2002, Nature.

[16]  P. G. Kevrekidis,et al.  Matter-wave solitons of collisionally inhomogeneous condensates , 2005 .

[17]  C. Salomon,et al.  Formation of a Matter-Wave Bright Soliton , 2002, Science.

[18]  Zachary Dutton,et al.  Observation of Quantum Shock Waves Created with Ultra- Compressed Slow Light Pulses in a Bose-Einstein Condensate , 2001, Science.

[19]  B. Malomed,et al.  Fully three dimensional breather solitons can be created using feshbach resonances. , 2005, Physical review letters.

[20]  B Eiermann,et al.  Bright Bose-Einstein gap solitons of atoms with repulsive interaction. , 2004, Physical review letters.

[21]  Yuri S. Kivshar,et al.  Dynamics of Solitons in Nearly Integrable Systems , 1989 .

[22]  P C Haljan,et al.  Watching dark solitons decay into vortex rings in a Bose-Einstein condensate. , 2001, Physical review letters.

[23]  B. Malomed,et al.  Feshbach resonance management for Bose-Einstein condensates. , 2003, Physical review letters.

[24]  C. E. Wieman,et al.  RESONANT MAGNETIC FIELD CONTROL OF ELASTIC SCATTERING IN COLD 85RB , 1998 .

[25]  Phillips,et al.  Generating solitons by phase engineering of a bose-einstein condensate , 2000, Science.

[26]  F. Dalfovo,et al.  Theory of Bose-Einstein condensation in trapped gases , 1998, cond-mat/9806038.

[27]  J. Schmiedmayer,et al.  Microscopic atom optics: from wires to an atom chip , 2008, 0805.2613.

[28]  Cornish,et al.  Stable 85Rb bose-einstein condensates with widely tunable interactions , 2000, Physical review letters.